MATH SOLVE

3 months ago

Q:
# Does y=-2x + 3 and y=x - 5 intersect on the y or x axis?

Accepted Solution

A:

Answer:No, the 2 equations do not intersect on either the x or y axisStep-by-step explanation:To find the intersection point for this situation we can set the 2 equations equal to each other. Since they are both equal to y, they are equal to each other-2x + 3 = x - 5Solving the above problem will tell us the x value where the 2 equations have the same y value...Get the x's to one side, and the constants to the other....-2x - x = -5 - 3 (subtract x and 3 from both sides)Now combine like terms...-3x = -8Divide both sides by -3 to isolate xx = 8/3Plug 8/3 in for 'x' into either equation to find the v-valuey = 8/3 - 5 y = 8/3 - 15/3 y = -7/3The point of intersection is (8/3, -7/3)No, the 2 equations do not intersect on either the x or y axis